Question

Lawrence wants to enlarge a picture of his dog and put it in a frame. The dimensions of the original picture are 5 inches by 7 inches. The perimeter of the frame is 48 inches. The dimensions of the frame are proportional to the dimensions of the original picture. What should be the dimensions of the enlarged picture?

A) 10 inches by 14 inches
B) 8 inches by 12 inches
C) 6 inches by 9 inches
D) 4 inches by 7 inches.

Answer 1

The dimensions of the enlarged picture are 10 inches by 14 inches.

Step-by-step explanation:

The dimensions of the original picture are 5 inches by 7 inches. The perimeter of the frame is 48 inches. The dimensions of the frame are proportional to the dimensions of the original picture. To find the dimensions of the enlarged picture, we can use the scale factor of the frame compared to the original picture. The scale factor is found by dividing the perimeter of the frame by the perimeter of the original picture. In this case, the scale factor is 48/24 = 2.

Since the dimensions of the original picture are 5 inches by 7 inches, the dimensions of the enlarged picture will be 5 x 2 = 10 inches by 7 x 2 = 14 inches. Therefore, the correct answer is A) 10 inches by 14 inches.